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2133323232120 = 2333510319177663
BaseRepresentation
bin11111000010110011111…
…110010011001101111000
321112221110222000210001000
4133002303332103031320
5234423021221411440
64312011332325000
7310061511164553
oct37026376231570
97487428023030
102133323232120
11752812392443
122a5551773760
1312622ca93832
147537946169a
153a75c982730
hex1f0b3f93378

2133323232120 has 128 divisors (see below), whose sum is σ = 7180117401600. Its totient is φ = 563362998912.

The previous prime is 2133323232119. The next prime is 2133323232121. The reversal of 2133323232120 is 212323233312.

2133323232120 is a `hidden beast` number, since 2 + 1 + 3 + 332 + 3 + 2 + 321 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2133323232119) and next prime (2133323232121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133323232121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9477592 + ... + 9700071.

It is an arithmetic number, because the mean of its divisors is an integer number (56094667200).

Almost surely, 22133323232120 is an apocalyptic number.

2133323232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133323232120 is an abundant number, since it is smaller than the sum of its proper divisors (5046794169480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2133323232120 is a wasteful number, since it uses less digits than its factorization.

2133323232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19177786 (or 19177776 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2133323232120 its reverse (212323233312), we get a palindrome (2345646465432).

The spelling of 2133323232120 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-three million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1030 1080 1236 1545 1854 2060 2472 2781 3090 3708 4120 4635 5562 6180 7416 9270 11124 12360 13905 18540 22248 27810 37080 55620 111240 19177663 38355326 57532989 76710652 95888315 115065978 153421304 172598967 191776630 230131956 287664945 345197934 383553260 460263912 517796901 575329890 690395868 767106520 862994835 1035593802 1150659780 1380791736 1725989670 1975299289 2071187604 2301319560 2588984505 3451979340 3950598578 4142375208 5177969010 5925897867 6903958680 7901197156 9876496445 10355938020 11851795734 15802394312 17777693601 19752992890 20711876040 23703591468 29629489335 35555387202 39505985780 47407182936 53333080803 59258978670 71110774404 79011971560 88888468005 106666161606 118517957340 142221548808 177776936010 213332323212 237035914680 266665404015 355553872020 426664646424 533330808030 711107744040 1066661616060 2133323232120